8004146520020
8,004,146,520,020 is an even composite number composed of six prime numbers multiplied together.
What does the number 8004146520020 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
8004146520020 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 8004146520020:
22 × 5 × 75 × 73 × 79 × 4129
(2 × 2 × 5 × 7 × 7 × 7 × 7 × 7 × 73 × 79 × 4129)See below for interesting mathematical facts about the number 8004146520020 from the Numbermatics database.
Names of 8004146520020
- Cardinal: 8004146520020 can be written as Eight trillion, four billion, one hundred forty-six million, five hundred twenty thousand and twenty.
Scientific notation
- Scientific notation: 8.00414652002 × 1012
Factors of 8004146520020
Divisors of 8004146520020
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 10 14 20 28 35 49 70 73 79 98 140 146 158 196 245 292 316 343 365 395 490 511 553 686 730 790 980 1022 1106 1372 1460 1580 1715 2044 2212 2401 2555 2765 3430 3577 3871 4129 4802 5110 5530 5767 6860 7154 7742 8258 9604 10220 11060 11534 12005 14308 15484 16516 16807 17885 19355 20645 23068 24010 25039 27097 28835 28903 33614 35770 38710 40369 41290 48020 50078 54194 57670 57806 67228 71540 77420 80738 82580 84035 100156 108388 115340 115612 125195 135485 144515 161476 168070 175273 189679 201845 202321 250390 270970 282583 289030 301417 326191 336140 350546 379358 403690 404642 500780 541940 565166 578060 602834 652382 701092 758716 807380 809284 876365 948395 1011605 1130332 1205668 1226911 1304764 1327753 1412915 1416247 1507085 1630955 1752730 1896790 1978081 2023210 2109919 2283337 2453822 2655506 2825830 2832494 3014170 3261910 3505460 3793580 3956162 4046420 4219838 4566674 4907644 5311012 5651660 5664988 6028340 6134555 6523820 6638765 7081235 7912324 8439676 9133348 9890405 9913729 10549595 11416685 12269110 13277530 13846567 14162470 14769433 15983359 19780810 19827458 21099190 22833370 23811943 24538220 26555060 27693134 28324940 29538866 31966718 39561620 39654916 42198380 45666740 47623886 49568645 55386268 59077732 63933436 69232835 69396103 73847165 79916795 95247772 96925969 99137290 103386031 111883513 119059715 138465670 138792206 147694330 159833590 166683601 193851938 198274580 206772062 223767026 238119430 276931340 277584412 295388660 319667180 333367202 346980515 387703876 413544124 447534052 476238860 484629845 516930155 559417565 666734404 693961030 723702217 783184591 833418005 969259690 1033860310 1118835130 1166785207 1387922060 1447404434 1566369182 1666836010 1938519380 2067720620 2237670260 2333570414 2894808868 3132738364 3333672020 3618511085 3915922955 4667140828 5065915519 5482292137 5833926035 7237022170 7831845910 8167496449 10131831038 10964584274 11667852070 14474044340 15663691820 16334992898 20263662076 21929168548 23335704140 25329577595 27411460685 32669985796 40837482245 50659155190 54822921370 57172475143 81674964490 101318310380 109645842740 114344950286 163349928980 228689900572 285862375715 400207326001 571724751430 800414652002 1143449502860 1600829304004 2001036630005 4002073260010 8004146520020
- Sum of all divisors σ(n): 20135125785600
- Sum of proper divisors (its aliquot sum) s(n): 12130979265580
- 8004146520020 is an abundant number, because the sum of its proper divisors (12130979265580) is greater than itself. Its abundance is 4126832745560
Bases of 8004146520020
- Binary: 11101000111100111000100111101011111110101002
- Hexadecimal: 0x7479C4F5FD4
- Base-36: 2U51Y6DHW
Squares and roots of 8004146520020
- 8004146520020 squared (80041465200202) is 64066361513948276260800400
- 8004146520020 cubed (80041465200203) is 512796544562212354123163099599824008000
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The
square root of 8004146520020 is 2829160.0378946399 -
The
cube root of 8004146520020 is 20003.4548365209
Scales and comparisons
How big is 8004146520020?- 8,004,146,520,020 seconds is equal to 254,507 years, 5 weeks, 1 day, 17 hours, 20 minutes, 20 seconds.
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To count from 1 to 8,004,146,520,020 would take you about six hundred thirty-six thousand, two hundred sixty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 8004146520020 cubic inches would be around 1667 feet tall.
Recreational maths with 8004146520020
- 8004146520020 backwards is 0200256414008
- The number of decimal digits it has is: 13
- The sum of 8004146520020's digits is 32
- More coming soon!
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